Oishi and Shigehiro (2010) reported that people who moved from home to home frequently as children tended to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtained a sample of 12 young adults who experienced five or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has an average score of μ = 40. What test should you use to determine whether well-being for the sample of frequent movers is significantly different from well-being in the general population?
Answer:
one-sample t test
Explanation:
The one sample t-test is a term in statistical procedure which is often employed to conclude whether a sample of observations could have been determined by a process with a specific mean.
One sample t-test has two types of hypothesis, they are:
1. The null hypothesis: this assumes that difference exists the true mean (μ) and the comparison value (m0)
2. The alternative hypothesis: this assumes that there are some difference exists between the true mean (μ) and the comparison value (m0)
The main purpose of the one sample t-test is to determine if the null hypothesis should be rejected, given the sample data.
Hence, to determine whether well-being for the sample of frequent movers is significantly different from well-being in the general population, researcher will use ONE SAMPLE T TEST.